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3 years ago

Which statement can you use to conclude that the relationship must be non-proportional

Mathematics

1 answer:

Deffense [45]3 years ago

3 0

I am really sorry but I didn’t get the answe

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

EleoNora [17]

Answer:

0, 10

Step-by-step explanation:

The given function is:

$g(y) = \frac{y-5}{y^2-3y+15}$

According to the quotient rule:

$d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}$

Applying the quotient rule:

$g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}$

The values for which g'(y) are zero are the critical points:

$g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10$

The critical values are y = 0 and y = 10.

5 0

3 years ago

Find an equation of the plane orthogonal to the line

jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/dt (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩t ) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨x, y, z⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨x, y, z⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨x - 9, y - 6, z⟩ • ⟨7, -7, -6⟩ = 0

7 (x - 9) - 7 (y - 6) - 6z = 0

7x - 63 - 7y + 42 - 6z = 0

7x - 7y - 6z = 21

so that

a = 7, b = -7, c = -6, and d = 21

4 0

3 years ago

Determina si cada par de razones representa una porción 10/20 y 6/12

polet [3.4K]

Answer:

no dosifica

Step-by-step explanation:

7 0

3 years ago

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Jordan is making a beaded necklace two thirds of the beads she uses are red and 4/21 of the beads are blue she wants the rest to

stiks02 [169]

Answer:

2/3= 14/21....red beads...4/21 blue beads...14+4= 18/21...so you need 3/21 more to finish the necklace and 3/21=1/7 in white beads

Step-by-step explanation:

6 0

3 years ago

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PLESE HELP ILL GIVE BRAINLIEST!,!!!!!

Bogdan [553]

Answer:

9.8x + 1.1y + 9.9z

Step-by-step explanation:

$\textsf {The perimeter is the sum of the side lengths.}$

$\textsf {Hence, the perimeter is :}$

⇒ 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y

⇒ 9.8x + 1.1y + 9.9z

5 0

2 years ago

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